05.05: A flexibility-based element for second-order inelastic analysis using plastic hinge method

ce/papers ◽  
2017 ◽  
Vol 1 (2-3) ◽  
pp. 1056-1065 ◽  
Author(s):  
Zuo-Lei Du ◽  
Yao-Peng Liu ◽  
Siu-Lai Chan ◽  
Wei-Qi Tan
Author(s):  
Yi-Qun Tang ◽  
He Zhu ◽  
Er-Feng Du

This paper is concerned with an incremental iterative force recovery method in the second-order plastic hinge analysis of steel frames mainly modelled by a single element per member. Second-order beam-column elements are preferred in the direct analysis of steel frames due to their high accuracy and efficiency. However, formulations of these elements are complicated, and therefore they may have a problem of getting element force recovery in inelastic analysis. To overcome this difficulty, a novel incremental iterative force recovery method for second-order beam-column elements is proposed to perform plastic hinge analysis. The proposed method is derived more strictly and has good performance. Also, the section assemblage approach and the refined plastic hinge method are adopted in this study to consider the gradual degradation of section stiffness in the plastic hinge analysis. To verify the accuracy, efficiency and robustness of the proposed method, several benchmark examples are analyzed by the proposed method and compared with solutions reported by early researchers.


2012 ◽  
Vol 12 (06) ◽  
pp. 1250046 ◽  
Author(s):  
M. FONG ◽  
S. L. CHAN

Based on the second-order inelastic analysis, this paper presents a practical method of design for steel–concrete composite beam-columns that satisfies code performance requirements. The concept of second-order inelastic analysis for structures is to consider both geometric and material nonlinearities and their imperfections so that the real structural behavior can be captured and the assumption for effective lengths is not required. The refined plastic hinge approach proposed herein traces the gradual material yielding and simulates full plasticity of a cross-section. The definitions of the initial and full yield surfaces (which are used to initiate the yielding and to indicate the full plastic stage) for steel–concrete composite cross-sections, based on the cross-section analysis, are presented. The proposed method is verified in examples of isolated composite columns and frames.


2020 ◽  
Vol 10 (4) ◽  
pp. 5974-5978 ◽  
Author(s):  
P. C. Nguyen ◽  
B. Le-Van ◽  
S. D. T. V. Thanh

In this study, a new method for nonlinear analysis of 2D steel frames, by improving the conventional plastic hinge method, is presented. The beam-column element is established and formulated in detail using a fiber plastic hinge approach. Residual stresses of I-shape sections are declared at the two ends through fibers. Gradual yielding by residual stresses along the member length due to axial force is accounted for by the tangent elastic modulus concept. The P-δ effect is captured by stability functions, whereas the P-Δ effect is estimated by the geometric stiffness matrix. A nonlinear algorithm is established for solving nonlinear problems. The present study predicts the strength and behavior of 2D steel frames as efficiently and accurately as the plastic zone method did.


2011 ◽  
Vol 255-260 ◽  
pp. 268-273
Author(s):  
Lian Kun Wang

The paper addresses the derivation of a concentrated plastic-hinge finite element modelling for nonlinear analysis of space steel frames. The interpolation functions considering shearing deformation are adopted and cubic polynomial interpolation functions based on Kollbrnner-Dajdin modified constraint torsion theory are used to consider the warping deformation, with these functions the effect of the secondary shear stress can be taken into account. With the expanded Orbison’s yielding surface, the plastic-hinge method used to do nonlinear analysis of space steel frames is derived by introducing elastic-plastic hinge parameter of element cross section. Numerical examples are presented to illustrate the validity and the universality of the proposed approach and the results show the new model is accurate and suitable for the nonlinear analysis of steel frameworks.


2012 ◽  
Vol 60 ◽  
pp. 98-104 ◽  
Author(s):  
Cuong Ngo-Huu ◽  
Phu-Cuong Nguyen ◽  
Seung-Eock Kim

2019 ◽  
Vol 1425 ◽  
pp. 012047
Author(s):  
Văn Tú Nguyễn ◽  
Thanh Bìrnh Phạm ◽  
Xuân Bàng Nguyễn

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